Question

Draw the two tangents from a point which is 9 cm away from the centre of a circle of radius 3 cm. Also, measure the lengths of the tangents.

Answer 1

In $△$$PQO$,

By Pythagoras Theorem

${PO}^2$ $=$ ${OQ}^2$ $+$ ${PQ}^2$

$9^2$ $=$ $3^2$ +${PQ}^2$

${PQ}^2$ $=81-9$

$PQ$ $=$ $\sqrt{72}$

$=6$$\sqrt{2}$